Answer:
The x-intercept is -2
The y-intercept is 4
Explanation:
The x-intercept is the value of x when y is equal to zero. So, we need to replace y by 0 and solve for x as follows:
[tex]\begin{gathered} 6x-3y=-12 \\ 6x-3\cdot0=-12 \\ 6x=-12 \\ \frac{6x}{6}=\frac{-12}{6} \\ x=-2 \end{gathered}[/tex]
Therefore, the x-intercept is -2
In the same way, the y-intercept is the value of y when x is equal to 0. So, replacing x by 0 and solving for y, we get:
[tex]\begin{gathered} 6x-3y=-12 \\ 6\cdot0-3y=-12 \\ -3y=-12 \\ \frac{-3y}{-3}=\frac{-12}{-3} \\ y=4 \end{gathered}[/tex]
Therefore, the y-intercept is 4
